Bluebomb is an exploit that runs on Linux, you run it and hit the sync button on the wii console and when it tries to connect to a "wiimote" via Bluetooth it launches a wii application instead.
Daco is right though, it wouldn't have ahbprot access so the latest priiloader installer wouldn't work when launched directly in this way. I think you could launch IOS236 installer mod (I. E. The kind used by ModMii) or any cios installer that doesn't require a wiimote (if you already have a cios installed you can skip this step), then use the same exploit to launch a wad manager and install a forwarder channel with ahbprot and meta.xml support (you can skip this step if you already have this installed - e.g. The spinning USB loader channel installed by ModMii by default), then you can save the latest priiloader installer to the path used by the forwarder (I. E. Rename sd:/apps/priiloader temporarily to sd:/apps/USB-loader or whatever), then use the same exploit to launch a forwarder channel dol that is set to launch the title ID of the forwarder channel from the previous step (modmii's advanced Downloader can create this dol for you if you provide it with the forwarder channel title ID).
So, its a lot of steps, but ultimately you would have an exploit launch a forwarder dol that launches a forwarder channel that has ahbprot and meta.xml support which should launch the latest priiloader installer successfully without requiring a wiimote. It's certainly unorthodox but I think it should work provided bluebomb is able to successfully launch the variety of dols required for each of the steps.
Edit: there's actually probably a slightly easier method, if you launch a forwarder dol that launches the HBC, assuming you already have one of the latest versions installed, then you have hbc access and can just use your gc controller to launch the official installer
Edit2: so to recap, find a forwarder dol that will launch the title ID of the version of the HBC you have installed (I.e. LULZ if it's the latest version), or you can create this forwarder dol from modmii's advanced download page you just need to key in the desired title id. Then launch this dol using bluebomb, then you are in the HBC and should be able to use your GC controller to launch whatever you need